https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=HW_7_problem_4 2026-06-08T20:53:45Z Revision history for this page on the wiki MediaWiki 1.44.2 https://murray.cds.caltech.edu/index.php?title=HW_7_problem_4&diff=6937&oldid=prev 2007-11-25T18:44:16Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:44, 25 November 2007</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Finally, you need to plot step and frequency response for the closed loop system, using the known MATLAB commands, finding rise time, overshoot, settling time and steady state error.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Finally, you need to plot step and frequency response for the closed loop system, using the known MATLAB commands, finding rise time, overshoot, settling time and steady state error.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">---[[User:Franco|Elisa]]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category: CDS 101/110 FAQ - Lecture 8-3]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category: CDS 101/110 FAQ - Lecture 8-3]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category: CDS 101/110 FAQ - Homework 7, Fall 2007]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category: CDS 101/110 FAQ - Homework 7, Fall 2007]]</div></td></tr> <!-- diff cache key acs_math_mw_144-murraycds_:diff:1.41:old-6936:rev-6937:php=table --> </table>

Franco https://murray.cds.caltech.edu/index.php?title=HW_7_problem_4&diff=6936&oldid=prev 2007-11-25T18:44:08Z

<p></p> <p><b>New page</b></p><div>This problem focuses on frequency domain specifications and loop shaping. You should learn in fact how to shape the frequency response of a plant so that it will present some desired properties.<br /> <br /> Following the paradigm showed in class (Lecture 8-1, slide 5), you should plot the Bode diagram for the plant considered and mark on such graph the performance specifications required.<br /> <br /> Based on the specifications, you should find what type of controller you need: make sure you understand what yields to gain and phase changes for the overall system. You should not do this by trial and error, but reason in terms of what you need to &quot;add&quot; to the open loop system to have the required behavior; add only the controller terms that are necessary. Don&#039;t forget to verify that the new system L(s)=P(s)C(s) satisfies the specifications.<br /> <br /> Finally, you need to plot step and frequency response for the closed loop system, using the known MATLAB commands, finding rise time, overshoot, settling time and steady state error.<br /> <br /> <br /> [[Category: CDS 101/110 FAQ - Lecture 8-3]]<br /> [[Category: CDS 101/110 FAQ - Homework 7, Fall 2007]]</div>

Franco